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Finding the Fourth Proportional to 27,909.42, 38,493.79 and 19,309.92

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Solution

The fourth proportional to 27,909.42, 38,493.79 and 19,309.92 is: 26,633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909.42 : 38,493.79 = 19,309.92 : x
  2. Step 2: Convert to fraction form
    27,909.42/38,493.79 = 19,309.92/x
  3. Step 3: Cross multiply
    27,909.42x = 38,493.79 × 19,309.92
  4. Step 4: Simplify right side
    27,909.42x = 743,311,716.38
  5. Step 5: Solve for x
    x = 743,311,716.38/27,909.42
  6. Step 6: Final answer
    x = 26,633.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.